6734040720 has 320 divisors, whose sum is σ = 23758479360. Its totient is φ = 1563033600.

The previous prime is 6734040707. The next prime is 6734040727. The reversal of 6734040720 is 270404376.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (6734040727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8756496 + ... + 8757264.

It is an arithmetic number, because the mean of its divisors is an integer number (74245248).

Almost surely, 2^6734040720 is an apocalyptic number.

6734040720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6734040720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879239680).

6734040720 is an abundant number, since it is smaller than the sum of its proper divisors (17024438640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6734040720 is a wasteful number, since it uses less digits than its factorization.

6734040720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 6734040720 is about 82061.2010635964. The cubic root of 6734040720 is about 1888.3909599844.

The spelling of 6734040720 in words is "six billion, seven hundred thirty-four million, forty thousand, seven hundred twenty".